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Simplifying (4 + -5x)(2x + 3) = 0 Reorder the terms: (4 + -5x)(3 + 2x) = 0 Multiply (4 + -5x) * (3 + 2x) (4(3 + 2x) + -5x * (3 + 2x)) = 0 ((3 * 4 + 2x * 4) + -5x * (3 + 2x)) = 0 ((12 + 8x) + -5x * (3 + 2x)) = 0 (12 + 8x + (3 * -5x + 2x * -5x)) = 0 (12 + 8x + (-15x + -10x2)) = 0 Combine like terms: 8x + -15x = -7x (12 + -7x + -10x2) = 0 Solving 12 + -7x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(3 + 2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0.8, -1.5}
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